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Finding the Fourth Proportional to 9,764.34, 13,471.41 and 5,514.87

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Solution

The fourth proportional to 9,764.34, 13,471.41 and 5,514.87 is: 7,608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.34 : 13,471.41 = 5,514.87 : x
  2. Step 2: Convert to fraction form
    9,764.34/13,471.41 = 5,514.87/x
  3. Step 3: Cross multiply
    9,764.34x = 13,471.41 × 5,514.87
  4. Step 4: Simplify right side
    9,764.34x = 74,293,074.87
  5. Step 5: Solve for x
    x = 74,293,074.87/9,764.34
  6. Step 6: Final answer
    x = 7,608.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.